Spatial period-doubling in Bose-Einstein condensates in an optical lattice

Details Spatial period-doubling in Bose-Einstein condensates in an optical lattice Spatial period-doubling in Bose-Einstein condensates in an optical lattice

2003-07-08

arxiv.org/abs/cond-mat/0307183v2

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures, change of content

Scientific paper

10.1103/PhysRevA.69.043604

We demonstrate that there exist stationary states of Bose-Einstein condensates in an optical lattice that do not satisfy the usual Bloch periodicity condition. Using the discrete model appropriate to the tight-binding limit we determine energy bands for period-doubled states in a one-dimensional lattice. In a complementary approach we calculate the band structure from the Gross-Pitaevskii equation, considering both states of the usual Bloch form and states which have the Bloch form for a period equal to twice that of the optical lattice. We show that the onset of dynamical instability of states of the usual Bloch form coincides with the occurrence of period-doubled states with the same energy. The period-doubled states are shown to be related to periodic trains of solitons.

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